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CSC-20059 - Module Specification
School of Computing and Mathematics
Faculty of Natural Sciences

For academic year: 2020/21 Last Updated: 25 February 2021

CSC-20059 - Computational Mathematics with Python
Coordinator: Allison Ce Gardner Tel: +44 1782 7 33989
Lecture Time: See Timetable...
Level: Level 5
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2020/21

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

None

Barred Combinations

None

Description for 2020/21

Scientific computing is one of the cornerstones of modern applied mathematics and data science. By equipping learners with a high-level general purpose programming language ¿Python¿, they will be well equipped to explore a plethora of data science problems using standard scientific and industry relevant tools and techniques e.g. Jupyter Notebooks.

Aims
¿The main aim of this module is to introduce learners to the three elements of scientific computing; numerical analysis, programming and modelling.
In particular, the programming element aims to provide learners with a valuable transferrable skill in the Python programming language. We also aim to give learners a broad appreciation of the different computational tools at their disposal, and an introduction to numerical analysis.

Intended Learning Outcomes

select and apply appropriate computational tools to help to solve and analyse a variety of problems: 1,2
create appropriate graphics (including interactive or animated) to illustrate a particular problem and/or solution: 1,2
write well commented and structured Python code with appropriate use of modules/libraries: 1,2
apply iterative methods to analyse and solve algebraic equations: 1,2
demonstrate the importance of the precision and bounds of floating point numbers: 1,2
perform numerical integration, differentiation and numerically solve ordinary differential equations, showing knowledge of numerical convergence: 1,2

Study hours

12 hours lab sessions during block release
24 hours online lectures
114 hours private study, including directed exercises and preparation of coursework/project

School Rules

None

Description of Module Assessment

1: Exercise weighted 50%
3 programming exercises
A set of three programming exercises. Each exercise is provided in a notebook template. For each exercise, learners can expect to spend approximately 4 hours.

2: Project weighted 50%
Individual study project
Individual project expanding on material covered during the module. The project will require learners to create a program to investigate a chosen mathematical concept. Learners must include a description of the code, how to execute it and a report of the findings. This must include details of the mathematical theory involved. The length of the project, when exported to pdf, will not exceed 6 pages, including code, figures and tables, but not including appendices. Formatting guidelines will be provided.

This document is the definitive current source of information about this module and supersedes any other information.

Last Updated: 25 February 2021